Further Mathematics Past QuestionsQuestion 741:A binary operation * is defined on the set of real numbers R, by p*q = p + q - \(\frac{pq}{2}\), where p, q \(\in\) R. Find the: (a) inverse of -1 under * given that the identity clement is zero. (b) truth set of m* 7 = m* 5, Question 742:(a) Two functions p and q are defined on the set of real numbers, R, by p : y \(\to\) 2y +3 and q : y -> y - 2. Find QOP (b) How many four digits odd numbers greater than 4000 can be formed from 1,7,3,8,2 if repetition is allowed? Question 744:If \(\frac{3x^2 + 3x - 2}{(x - 1)(x + 1)}\) = P + \(\frac{Q}{x - 1} + \frac{R}{x - 1}\) Find the value of Q and R Question 745:
The table shows the distribution of marks scored by 64 students in a test (a) Draw a histogram for the distribution. (b) Use the histogram to estimate the modal score. |
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